Search a number
-
+
78211044 = 22323771827
BaseRepresentation
bin1001010100101…
…10011111100100
312110011112101100
410222112133210
5130010223134
611432200100
71636532352
oct452263744
9173145340
1078211044
114016a12a
1222239030
1313285032
14a55c7d2
156ced999
hex4a967e4

78211044 has 72 divisors (see below), whose sum is σ = 206152128. Its totient is φ = 24978240.

The previous prime is 78211039. The next prime is 78211069. The reversal of 78211044 is 44011287.

It is a super-2 number, since 2×782110442 = 12233934807139872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78210999 and 78211017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94159 + ... + 94985.

It is an arithmetic number, because the mean of its divisors is an integer number (2863224).

Almost surely, 278211044 is an apocalyptic number.

78211044 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78211044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064).

78211044 is an abundant number, since it is smaller than the sum of its proper divisors (127941084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78211044 is a wasteful number, since it uses less digits than its factorization.

78211044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78211044 is about 8843.7008090505. The cubic root of 78211044 is about 427.6508711360.

The spelling of 78211044 in words is "seventy-eight million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 71 74 111 142 148 213 222 284 333 426 444 639 666 827 852 1278 1332 1654 2481 2556 2627 3308 4962 5254 7443 7881 9924 10508 14886 15762 23643 29772 30599 31524 47286 58717 61198 91797 94572 117434 122396 176151 183594 234868 275391 352302 367188 528453 550782 704604 1056906 1101564 2113812 2172529 4345058 6517587 8690116 13035174 19552761 26070348 39105522 78211044